%0 Journal Article %T A NEW GEOMETRIC INEQUALITY AND ITS APPLICATIONS %A JIAN LIU %J Journal of Science and Arts %D 2011 %I Bibliotheca Publishing House %X In this paper, we establish a ternary quadratic geometric inequality involving a triangle and a point by using the polar moment of the inertia inequality of M.S. Klamkin. We also give new result some applications, and propose several related conjectures which are checked by the computer. %K triangle %K point %K the polar moment of the inertia inequality %K real number %K inequality. %U http://www.icstm.ro/DOCS/josa/josa_2011_1/a.01_A_NEW_GEOMETRIC_INEQUALITY_AND_ITS_APPLICATIONS.pdf